An Improved Algorithm for Solving Dynamic Responses of Vehicle-Track Vertically Coupled Systems

LIU Zhangjun; HE Chenggao; ZHANG Chuanyong

doi:10.21656/1000-0887.390202

Volume 40 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2019 > 40(6): 641-649

LIU Zhangjun, HE Chenggao, ZHANG Chuanyong. An Improved Algorithm for Solving Dynamic Responses of Vehicle-Track Vertically Coupled Systems[J]. Applied Mathematics and Mechanics, 2019, 40(6): 641-649. doi: 10.21656/1000-0887.390202

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An Improved Algorithm for Solving Dynamic Responses of Vehicle-Track Vertically Coupled Systems

doi: 10.21656/1000-0887.390202

College of Civil Engineering & Architecture, China Three Gorges University, Yichang, Hubei 443002, P.R.China

Funds: The National Natural Science Foundation of China（51778343；51278282）

Received Date: 2018-07-21
Rev Recd Date: 2018-09-16
Publish Date: 2019-06-01

Abstract

Abstract

Since the track structure length would increase with the system response duration, an improved algorithm for solving the dynamic responses of the vehicle-track vertically coupled system was proposed. In this algorithm, a certain length of the track structure was selected in advance, and the mass matrix, the damping matrix and the stiffness matrix of the track structure can be obtained. During the solution process, the position of the vehicle subsystem was continually determined, meanwhile, it was judged whether the position of the vehicle subsystem and the response matrix of the track structure shall be adjusted so as to achieve the goal of only increasing the system response duration without increasing the track structure length. The numerical results show that, the improved algorithm is of high accuracy and efficiency in realistic simulation of the forward movement of the train on the track, and ensures that the number of elements in the track subsystem does not increase with the system response duration, making an applicable method for solving the dynamic responses of vehicle-track vertically coupled systems.
- vehicle-track dynamics,
- wheel-rail interaction,
- dynamic response,
- Newmark-β method,
- improved algorithm

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References(15)

References

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